Statistical mechanics of random geometric graphs: Geometry-induced first-order phase transition
Statistical mechanics of random geometric graphs: Geometry-induced first-order phase transition
Random geometric graphs (RGGs) can be formalized as hidden-variables models where the hidden variables are the coordinates of the nodes. Here we develop a general approach to extract the typical configurations of a generic hidden-variables model and apply the resulting equations to RGGs. For any RGG, defined through a rigid …